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Finding the Fourth Proportional to 4,806.44, 7,201.88 and 3,813.89

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Solution

The fourth proportional to 4,806.44, 7,201.88 and 3,813.89 is: 5,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.44 : 7,201.88 = 3,813.89 : x
  2. Step 2: Convert to fraction form
    4,806.44/7,201.88 = 3,813.89/x
  3. Step 3: Cross multiply
    4,806.44x = 7,201.88 × 3,813.89
  4. Step 4: Simplify right side
    4,806.44x = 27,467,123.03
  5. Step 5: Solve for x
    x = 27,467,123.03/4,806.44
  6. Step 6: Final answer
    x = 5,714.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.